⌂
→
Artin representations
→
Search results
Citation
·
Feedback
·
Hide Menu
Artin representation search results
Introduction
Overview
Random
Universe
Knowledge
L-functions
Rational
All
Modular forms
Classical
Maass
Hilbert
Bianchi
Varieties
Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Fields
Number fields
$p$-adic fields
Representations
Dirichlet characters
Artin representations
Groups
Galois groups
Sato-Tate groups
Database
↑
Learn more
Source and acknowledgments
Completeness of the data
Reliability of the data
Artin representations labels
Refine search
Dimension
Conductor
Group
Root number
Parity
even
odd
Smallest permutation
Ramified
include
exactly
subset
Unramified primes
Ramified prime count
Frobenius-Schur
Projective image
Projective image type
Dn
A4
S4
A5
Sort order
Select
Search again
Random representation
▲ dimension
conductor
group
ramified prime count
projective image
columns to display
✓ label
✓ dimension
✓ conductor
ramified prime count
✓ Artin stem field
✓ image
projective image
container
✓ indicator
✓ trace of complex conj.
show all
Results (1-50 of 17187 matches)
Next
Download
displayed columns
for
results
to
Text
Pari/GP
SageMath
Magma
Oscar
CSV
Galois conjugate representations are grouped into single lines.
Label
Dimension
Conductor
Ramified prime count
Artin stem field
$G$
Projective image
Container
Ind
$\chi(c)$
6.612233.7t7.a.a
$6$
$ 71 \cdot 8623 $
$2$
7.3.612233.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.612569.7t7.a.a
$6$
$ 593 \cdot 1033 $
$2$
7.3.612569.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.640681.7t7.a.a
$6$
$ 59 \cdot 10859 $
$2$
7.3.640681.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.649177.7t7.a.a
$6$
$ 59 \cdot 11003 $
$2$
7.3.649177.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.661033.7t7.a.a
$6$
$ 173 \cdot 3821 $
$2$
7.3.661033.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.674057.7t7.a.a
$6$
$ 674057 $
$1$
7.3.674057.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.689033.7t7.a.a
$6$
$ 689033 $
$1$
7.3.689033.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.696401.7t7.a.a
$6$
$ 109 \cdot 6389 $
$2$
7.3.696401.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.724873.7t7.a.a
$6$
$ 31 \cdot 67 \cdot 349 $
$3$
7.3.724873.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.726721.7t7.a.a
$6$
$ 79 \cdot 9199 $
$2$
7.3.726721.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.746633.7t7.a.a
$6$
$ 127 \cdot 5879 $
$2$
7.3.746633.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.753209.7t7.a.a
$6$
$ 37 \cdot 20357 $
$2$
7.3.753209.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.763993.7t7.a.a
$6$
$ 113 \cdot 6761 $
$2$
7.3.763993.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.765529.7t7.a.a
$6$
$ 19 \cdot 43 \cdot 937 $
$3$
7.3.765529.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.780401.7t7.a.a
$6$
$ 780401 $
$1$
7.3.780401.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.788857.7t7.a.a
$6$
$ 31 \cdot 25447 $
$2$
7.3.788857.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.789289.7t7.a.a
$6$
$ 79 \cdot 97 \cdot 103 $
$3$
7.3.789289.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.792873.7t7.a.a
$6$
$ 3^{2} \cdot 37 \cdot 2381 $
$3$
7.3.792873.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.794233.7t7.a.a
$6$
$ 11 \cdot 103 \cdot 701 $
$3$
7.3.794233.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.796753.7t7.a.a
$6$
$ 41 \cdot 19433 $
$2$
7.3.796753.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.819713.7t7.a.a
$6$
$ 41 \cdot 19993 $
$2$
7.3.819713.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.830801.7t7.a.a
$6$
$ 830801 $
$1$
7.3.830801.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.838289.7t7.a.a
$6$
$ 521 \cdot 1609 $
$2$
7.3.838289.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.877193.7t7.a.a
$6$
$ 739 \cdot 1187 $
$2$
7.3.877193.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.891169.7t7.a.a
$6$
$ 149 \cdot 5981 $
$2$
7.3.891169.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.909673.7t7.a.a
$6$
$ 23 \cdot 39551 $
$2$
7.3.909673.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.909929.7t7.a.a
$6$
$ 19 \cdot 83 \cdot 577 $
$3$
7.3.909929.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.919969.7t7.a.a
$6$
$ 919969 $
$1$
7.3.919969.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.941177.7t7.a.a
$6$
$ 113 \cdot 8329 $
$2$
7.3.941177.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.970129.7t7.a.a
$6$
$ 571 \cdot 1699 $
$2$
7.3.970129.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.983441.7t7.a.a
$6$
$ 983441 $
$1$
7.3.983441.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.995173.7t7.a.a
$6$
$ 995173 $
$1$
7.3.995173.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.1011913.7t7.a.a
$6$
$ 7 \cdot 37 \cdot 3907 $
$3$
7.3.1011913.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.1016777.7t7.a.a
$6$
$ 1016777 $
$1$
7.3.1016777.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.1018217.7t7.a.a
$6$
$ 1018217 $
$1$
7.3.1018217.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.1026801.7t7.a.a
$6$
$ 3^{2} \cdot 114089 $
$2$
7.3.1026801.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.1033441.7t7.a.a
$6$
$ 1033441 $
$1$
7.3.1033441.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.1045573.7t7.a.a
$6$
$ 1045573 $
$1$
7.3.1045573.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.1047017.7t7.a.a
$6$
$ 41 \cdot 25537 $
$2$
7.3.1047017.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.1048193.7t7.a.a
$6$
$ 1048193 $
$1$
7.3.1048193.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.1063369.7t7.a.a
$6$
$ 499 \cdot 2131 $
$2$
7.3.1063369.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.1069193.7t7.a.a
$6$
$ 1069193 $
$1$
7.3.1069193.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.1072033.7t7.a.a
$6$
$ 43 \cdot 107 \cdot 233 $
$3$
7.3.1072033.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.1078193.7t7.a.a
$6$
$ 19 \cdot 56747 $
$2$
7.3.1078193.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.1084313.7t7.a.a
$6$
$ 1084313 $
$1$
7.3.1084313.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.1087369.7t7.a.a
$6$
$ 137 \cdot 7937 $
$2$
7.3.1087369.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.1104217.7t7.a.a
$6$
$ 1104217 $
$1$
7.3.1104217.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.1106461.7t7.a.a
$6$
$ 23 \cdot 73 \cdot 659 $
$3$
7.3.1106461.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.1121929.7t7.a.a
$6$
$ 163 \cdot 6883 $
$2$
7.3.1121929.1
$S_7$
$S_7$
$S_7$
$1$
$2$
6.1123273.7t7.a.a
$6$
$ 263 \cdot 4271 $
$2$
7.3.1123273.1
$S_7$
$S_7$
$S_7$
$1$
$2$
Next
Download
displayed columns
for
results
to
Text
Pari/GP
SageMath
Magma
Oscar
CSV